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The area of sector JLK is `3pi ` in.`^2` . Find the measure of arc JK.
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High School Teacher
Area of the entire circle `A=pir^2` is `36pi.`
Since the area of the sector is `3pi` , then this represents `(3pi)/(36pi)` or `1/12.`
Therefore this arc represents `1/12` of the entire circle of 360 degrees.
So, this means `1/12* 360 = 30.`
Therefore arc JK = 30 degrees.` `
Posted by baxthum8 on September 11, 2013 at 8:38 PM (Answer #1)
Determine the length of arc JK as `1/12` of the whole circumference:
Length of arc JK`=1/12 (12pi)` in.` ``=pi` in.
Therefore the length of arc JK is 3.1416 in.
Posted by flbyrne on September 11, 2013 at 10:13 PM (Answer #2)
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